1) Creates an Exchange Management Console session
2) Checks for the admin's management role assignment "Mailbox Import Export" and adds it if necessary.
3) Asks for the name of a user whose mailbox needs to be backed up.
4) Opens a File Save Dialog, allowing the admin to choose where to save the PST file, and populates it with an already personalized & date-encoded file name.
5) Armed with the above information the script then instructs the Exchange to export the user's mailbox as a .pst file to the admin's specifications.
6) Removes the Exchange Management Console session
7) Informs the admin of the actions taken

Mischief managed!

Source Code

This script has not been checked by Spiceworks. Please understand the risks before using it.